What three numbers have an average of 910?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 910. This means if we add these three numbers together and divide by 3, we should get 910.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 910 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 910 * 3 = x + y + z
- So, the sum of our three numbers should be: 2730
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 2730.
Solution 1:
910, 910, 910
Verification:
(910 + 910 + 910) / 3 = 2730 / 3 ≈ 910
This solution is correct!
Solution 2:
910, 910, 910
Verification:
(910 + 910 + 910) / 3 = 2730 / 3 ≈ 910
This solution is correct!
Solution 3:
1540, 65, 1125
Verification:
(1540 + 65 + 1125) / 3 = 2730 / 3 ≈ 910
This solution is correct!
Solution 4:
1346, 963, 421
Verification:
(1346 + 963 + 421) / 3 = 2730 / 3 ≈ 910
This solution is correct!
Solution 5:
1141, 1477, 112
Verification:
(1141 + 1477 + 112) / 3 = 2730 / 3 ≈ 910
This solution is correct!
Explanation:
As you can see, there are many possible solutions. We can find more by:
- Choosing any two numbers
- Subtracting their sum from 2730 to get the third number
Remember:
- The numbers don't have to be whole numbers.
- They can even be negative (although that might not make sense in some real-world contexts).
- The order of the numbers doesn't matter for the average.